This article was originally published as exclusive content for my facebook subscribers and is now being republished to reach a wider audience. Subscribe to my facebook feed and be the first to read more such exclusive content.
Quite a number of readers had written in asking me to explain the difference between APR and APY.
APR = Annual Percentage Rate. Think of this as simple interest.
APY = Annual Percentage Yield. Think of this as compound interest.
APR and APY explain why your Fixed Deposit certificate quotes an interest rate of 9% but upon maturity you get an interest amount that is slightly higher than what you’d actually get at 9%.
APY = APR compounded at a certain compounding interval.
The exact formula that relates these two is:
APY = (((1 + (Quoted_APR/100)/Compounding_Interval)^Compounding_Interval) – 1)*100
Look at this illustration (click on the image for a full-size version).
When APR = 10.25% and compounding is done quarterly then,
APY = (((1 + (10.25/100)/4)^4) – 1)*100 = 10.65%
On the other hand, if APR = 10.50% and compounding is done quarterly then,
APY = (((1 + (10.50/100)/4)^4) – 1)*100 = 10.92%
Finally, if APR = 10.25% and compounding is done semi-annually then,
APY = (((1 + (10.25/100)/2)^2) – 1)*100 = 10.51%
That explains the difference between APR and APY. Let me know if you have any questions.
Note: With Credit Cards you might sometimes see a monthly-APR quoted such as 3.1% per month. Simply multiply this by 12 to get the annual-APR. In this case, the annual-APR is 3.1% x 12 = 37.2%.
{ 3 comments }
